A storage tank of negligible mass and 30m high is filled with gasoline. What is the force that acts on a square access hatch at the bottom of the tank that measures 0.5m x 0.5m
F = rho gh
And I'm assuming they mean pressure:
P= F/A
I don't know the density of gasoline, you'll have to look it up.
To find the force acting on the square access hatch at the bottom of the tank, we need to consider the pressure exerted by the gasoline. The force can be calculated using the formula:
Force = Pressure x Area
First, let's calculate the pressure exerted by the gasoline. The pressure at any point in a fluid is given by the equation:
Pressure = Density x Gravity x Height
Given:
Height of the tank (h) = 30m
Density of gasoline (ρ) = (Assume a typical value) 700 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
We can substitute these values into the equation to find the pressure:
Pressure = 700 kg/m³ x 9.8 m/s² x 30m
Next, let's calculate the force by multiplying the pressure by the area of the hatch:
Area of the hatch (A) = 0.5m x 0.5m
Force = Pressure x Area
Now, we can substitute the values we calculated to find the force acting on the hatch.
Note: It is crucial to convert units to maintain consistency throughout the calculation.
Is there anything else I can assist you with?